7.91 is what percent of 19.91 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 19.91 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 19.91, so we can write it down as 100%=19.91.
4. We know, that x% equals 7.91 of the output value, so we can write it down as x%=7.91.
5. Now we have two simple equations:
1) 100%=19.91
2) x%=7.91
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=19.91/7.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.91 is what percent of 19.91

100%/x%=19.91/7.91
(100/x)*x=(19.91/7.91)*x       - we multiply both sides of the equation by x
100=2.5170670037927*x       - we divide both sides of the equation by (2.5170670037927) to get x
100/2.5170670037927=x
39.728779507785=x
x=39.728779507785

now we have:
7.91 is 39.728779507785% of 19.91